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Question: Figure shows a graph in log<sub>10</sub> K vs\(\frac{1}{T}\)where K is rate constant and T is temper...

Figure shows a graph in log10 K vs1T\frac{1}{T}where K is rate constant and T is temperature. The straight line BC has slope, | tan q | = 12.303\frac{1}{2.303} and an intercept of 5 on y-axis. Thus Ea, the energy of activation is –

A

2.303 × 2 cal

B

2/2.303 cal

C

2 cal

D

None of these

Answer

2 cal

Explanation

Solution

log10 K vs 1T\frac{1}{T}is linear ;

slope = EA2.303R\frac{- E_{A}}{2.303R} intercept = log10 A

Since, |tan q| = 12.303\frac{1}{2.303}

\ EA2.303R\frac{E_{A}}{2.303R}=12.303\frac{1}{2.303} Ž Ea = R = 2 cal